I'd love to learn to surf, but with my fubar shoulder I literally can't paddle. I built my surf kayak, which has a surfboard shaped bottom and a tri-fin setup. Getting out past the break in that can be serious trial. I look for rip currents to ride out. My kayak roll is not high percentage when I get rolled by a good sized wave, which means I have to swim it back in, dump it out, and head back out. Big motivator to get the bombproof roll. Once past the break I can maneuver fast and catch waves surfers can't (but I stay well clear of surfers).
Actually, the most fun is catching small waves. You can catch about anything.
But anyway, I got the paddle board while at the beach for the two week vacation, and paddled it around in the ocean on the offshore wind days with low swells. Could paddle it out through the small breaks and deal with the swells, and had caught a few waves too. Tons of fun. Looking forward to getting back down there. I paddle it in running creeks here, which develops some balance skills.
If you haven't tried a Greenland paddle it may mitigate shoulder issues and make rolling a lot easier. Got a carbon one and it is awesome.